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2114211331 = 29674572381
BaseRepresentation
bin111111000000100…
…0100111000000011
312110100021001201101
41332001010320003
513312214230311
6545442515231
7103251333301
oct17601047003
95410231641
102114211331
119954652a1
124b0065b17
1327902552b
14160b09271
15c5922ec1
hex7e044e03

2114211331 has 16 divisors (see below), whose sum is σ = 2225550240. Its totient is φ = 2005597440.

The previous prime is 2114211317. The next prime is 2114211361. The reversal of 2114211331 is 1331124112.

It is a cyclic number.

It is not a de Polignac number, because 2114211331 - 25 = 2114211299 is a prime.

It is a super-2 number, since 2×21142113312 = 8939779104257583122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2114211299 and 2114211308.

It is not an unprimeable number, because it can be changed into a prime (2114211311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886761 + ... + 889141.

It is an arithmetic number, because the mean of its divisors is an integer number (139096890).

Almost surely, 22114211331 is an apocalyptic number.

2114211331 is a deficient number, since it is larger than the sum of its proper divisors (111338909).

2114211331 is a wasteful number, since it uses less digits than its factorization.

2114211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934.

The product of its digits is 144, while the sum is 19.

The square root of 2114211331 is about 45980.5538352900. The cubic root of 2114211331 is about 1283.4613611670.

Adding to 2114211331 its reverse (1331124112), we get a palindrome (3445335443).

The spelling of 2114211331 in words is "two billion, one hundred fourteen million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 29 67 457 1943 2381 13253 30619 69049 159527 887951 1088117 4626283 31555393 72903839 2114211331